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Finding the Third Proportional to 149,642 and 328,362

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Solution

The third proportional to 149,642 and 328,362 is: 720,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642 : 328,362 = 328,362 : x
  2. Step 2: Convert to fraction form
    149,642/328,362 = 328,362/x
  3. Step 3: Cross multiply
    149,642x = 328,362 × 328,362
  4. Step 4: Simplify right side
    149,642x = 107,821,603,044
  5. Step 5: Solve for x
    x = 107,821,603,044/149,642
  6. Step 6: Final answer
    x = 720,530.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.